use properties of operations to factor 8w + 16 Using the GFC

Answer 1

To factor 8w + 16 using the Greatest Common Factor (GCF), we need to find the largest number that can divide both 8w and 16.

First, let's factor 8w separately:
8w = 2 * 4 * w

Next, let's factor 16 separately:
16 = 2 * 8

Now, let's find the common factors between 8w and 16. The GCF is the product of all the common factors:
GCF = 2

Now, divide both 8w and 16 by the GCF:
8w/GCF + 16/GCF = (2 * 4 * w)/2 + (2 * 8)/2 = 4w + 8

Therefore, the factored form of 8w + 16 using the GCF is 4w + 8.